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Finding the Fourth Proportional to 11,364.30, 17,042.31 and 3,966.66

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Solution

The fourth proportional to 11,364.30, 17,042.31 and 3,966.66 is: 5,948.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,364.30 : 17,042.31 = 3,966.66 : x
  2. Step 2: Convert to fraction form
    11,364.30/17,042.31 = 3,966.66/x
  3. Step 3: Cross multiply
    11,364.30x = 17,042.31 × 3,966.66
  4. Step 4: Simplify right side
    11,364.30x = 67,601,049.38
  5. Step 5: Solve for x
    x = 67,601,049.38/11,364.30
  6. Step 6: Final answer
    x = 5,948.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.